Two vectors $\overrightarrow{ A }$ and $\overrightarrow{ B }$ have equal magnitudes. If magnitude of $\overrightarrow{ A }+\overrightarrow{ B }$ is equal to two times the magnitude of $\overrightarrow{ A }-\overrightarrow{ B }$, then the angle between $\overrightarrow{ A }$ and $\overrightarrow{ B }$ will be .......................

  • [JEE MAIN 2022]
  • A

    $\sin ^{-1}\left(\frac{3}{5}\right)$

  • B

    $\sin ^{-1}\left(\frac{1}{3}\right)$

  • C

    $\cos ^{-1}\left(\frac{3}{5}\right)$

  • D

    $\cos ^{-1}\left(\frac{1}{3}\right)$

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Two forces $P$ and $Q$, of magnitude $2F$ and $3F$, respectively, are at an angle $\theta $ with each other. If the force $Q$ is doubled, then their resultant also gets doubled. Then, the angle $\theta $ is ....... $^o$

  • [JEE MAIN 2019]

With respect to a rectangular cartesian coordinate system, three vectors are expressed as
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  • [JEE MAIN 2021]

If $\vec{P}+\vec{Q}=\overrightarrow{0}$, then which of the following is necessarily true?

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The angle between the two vectors is

  • [AIPMT 2006]